90479436804 has 135 divisors (see below), whose sum is σ = 251519030917. Its totient is φ = 28356829056.

The previous prime is 90479436797. The next prime is 90479436809. The reversal of 90479436804 is 40863497409.

It is a happy number.

The square root of 90479436804 is 300798.

It is a perfect power (a square), and thus also a powerful number.

90479436804 is a `hidden beast` number, since 90 + 47 + 9 + 436 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70442468100 + 20036968704 = 265410^2 + 141552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90479436809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92043697 + ... + 92044679.

Almost surely, 2^90479436804 is an apocalyptic number.

90479436804 is the 300798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90479436804

90479436804 is an abundant number, since it is smaller than the sum of its proper divisors (161039594113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90479436804 is an equidigital number, since it uses as much as digits as its factorization.

90479436804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 90479436804 in words is "ninety billion, four hundred seventy-nine million, four hundred thirty-six thousand, eight hundred four".